Question

(x+6)(x-5) what is the degree,leading coefficient,constant term,horizontal interception,vertical intercepts

Answer 1

Degree: 2

Leading coefficient: 1

Constant term: -30

Horizontal/X intercepts: (-6, 0) and (5, 0)

Vertical/Y intercept: (0, -30)

Here's a quick rundown: Distribute to find the standard form quadratic. Because it is quadratic, its degree must be 2. There isn't any number before the first variable, so it can be assumed to be 1. The last term, which doesn't have a variable and therefore the constant, is -30. By reversing the signs of the signs of the numbers in the factors, you can easily find the horizontal intercepts/X-intercepts/zeros/roots which are (-6, 0) and (5, 0). The constant term will in most cases also be the Y-intercept/horizontal intercept. Therefore the Y-intercept is (0, -30) This applies to this equation because there is nothing being multiplied across the entire equation.